10206424256004 has 144 divisors (see below), whose sum is σ = 29167804778112. Its totient is φ = 2991569366016.

The previous prime is 10206424255991. The next prime is 10206424256023. The reversal of 10206424256004 is 40065242460201.

10206424256004 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 4 + 2 + 42 + 5 + 600 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10206424256004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7826059 + ... + 9036594.

It is an arithmetic number, because the mean of its divisors is an integer number (202554199848).

Almost surely, 2^{10206424256004} is an apocalyptic number.

It is an amenable number.

10206424256004 is an abundant number, since it is smaller than the sum of its proper divisors (18961380522108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10206424256004 is a wasteful number, since it uses less digits than its factorization.

10206424256004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16862746 (or 16862741 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 10206424256004 in words is "ten trillion, two hundred six billion, four hundred twenty-four million, two hundred fifty-six thousand, four".